Calderón–Zygmund theory for parabolic obstacle problems with nonstandard growth

We establish local Calderón–Zygmund estimates for solutions to certain parabolic problems with irregular obstacles and nonstandard p(x,t)${p(x,t)}$-growth. More precisely, we will show that the spatial gradient Du${Du}$ of the solution to the obstacle problem is as integrable as the obstacle ψ${\psi...

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Hlavní autor:	Erhardt André
Médium:	Artigo
Jazyk:	Inglês
Vydáno:	De Gruyter 2014-02-01
Edice:	Advances in Nonlinear Analysis
Témata:	calderón–zygmund estimates nonlinear parabolic obstacle problems variational inequality nonstandard growth localizable solution 35k86 35b45 35b51 42b20 49n60
On-line přístup:	https://doi.org/10.1515/anona-2013-0024
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